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Finding the Fourth Proportional to 1,398.08, 2,096.99 and 424.19

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Solution

The fourth proportional to 1,398.08, 2,096.99 and 424.19 is: 636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.08 : 2,096.99 = 424.19 : x
  2. Step 2: Convert to fraction form
    1,398.08/2,096.99 = 424.19/x
  3. Step 3: Cross multiply
    1,398.08x = 2,096.99 × 424.19
  4. Step 4: Simplify right side
    1,398.08x = 889,526.90
  5. Step 5: Solve for x
    x = 889,526.90/1,398.08
  6. Step 6: Final answer
    x = 636.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.